Least Common Multiple of 46/84, 42/90, 18/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 46/84, 42/90, 18/392 quickly i.e. 1449 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 46/84, 42/90, 18/392 is 1449.

LCM(46/84, 42/90, 18/392) = 1449

LCM of 46/84, 42/90, 18/392

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 46/84,42/90,18/392

Given numbers are 46/84,42/90,18/392

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 46,42,18

Least Common Multiple of Numerators i.e. LCM of 46,42,18 is 2898.

GCF of Denominators means GCF of 84,90,392 as per the given fractions.

GCF of 84,90,392 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 46,42,18

LCM of Fractions 46/84,42/90,18/392 is 1449

2 46, 42, 18
3 23, 21, 9
23, 7, 3

∴ So the LCM of the given numbers is 2 x 3 x 23 x 7 x 3 = 2898

Least Common Multiple of 46,42,18 with GCF Formula

Least Common Multiple of 46,42,18 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 46,42,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,42,18) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(46,42,18) x common factors =2 x 6 = 12

LCM(46,42,18) = ( 46 × 42 × 18 ) / 12

LCM(46,42,18) = 34776 / 12

LCM(46,42,18) = 2898


Lets's calculate GCF of 84,90,392

2 84, 90, 392
42, 45, 196

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2898/2

Therefore the LCM of Fractions 46/84,42/90,18/392 is 1449

Greatest Common Factor of 84,90,392 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,90,392 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Greatest Common Factor

We found the factors 84,90,392 . The biggest common factor number is the GCF number.
So the greatest common factor 84,90,392 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 46/84, 42/90, 18/392

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 46/84, 42/90, 18/392?

Answer: LCM of Numerators as per given numbers 46/84, 42/90, 18/392 is

LCM of Numerators i.e. for 46,42,18 is 2898

GCF of denominators i.e. for 84,90,392 is 2.

Thus, LCM of Fractions is 1449.Finally, LCM of Fractions for 46/84, 42/90, 18/392 is 1449.